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An example on ordered Banach algebras
Author(s):
Gerd
Herzog;
Christoph
Schmoeger
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3949-3954.
MSC (2000):
Primary 47H05, 47A12, 47B60
Posted:
September 7, 2007
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Abstract:
Let  be a complex unital Banach algebra. We consider the Banach algebra  ordered by the algebra cone  , and investigate the connection between results on ordered Banach algebras and the right bound of the numerical range of elements in  .
References:
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Additional Information:
Gerd
Herzog
Affiliation:
Institut für Analysis, Universität Karlsruhe, D-76128 Karlsruhe, Germany
Email:
Gerd.Herzog@math.uni-karlsruhe.de
Christoph
Schmoeger
Affiliation:
Institut für Analysis, Universität Karlsruhe, D-76128 Karlsruhe, Germany
Email:
christoph.schmoeger@math.uni-karlsruhe.de
DOI:
10.1090/S0002-9939-07-09000-4
PII:
S 0002-9939(07)09000-4
Keywords:
Ordered Banach algebras,
bounds of numerical range,
fractional powers.
Received by editor(s):
September 22, 2006
Received by editor(s) in revised form:
November 6, 2006
Posted:
September 7, 2007
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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